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riadik2000 [5.3K]
3 years ago
7

ABCD is a rectangle. What is the value of x?

Mathematics
2 answers:
kvv77 [185]3 years ago
6 0
The answer is 33 meters
use the Pythagorean theorem 
56^2+x^2=65^2
3136+x^2=4225
x^2=1089
x=33
oksano4ka [1.4K]3 years ago
5 0

Answer:

33m

Step-by-step explanation:

In A rectangle with a diagonal, the diagonal line divides the rectangle into two right angled triangle.

The diagonal serves as the hypotenuse and the other two sides serves as the opposite and adjacent.

According to Pythagoras theorem;

Hypotenuse ² = Adjacent ²+opposite ²

If diagonal = 65m = hypotenuse

Let Length = opposite = 56m and;

width = adjacent = x

Substituting this values in the formula we have;

65² = x²+56²

x² = 65²-56²

x² = 1089

x = √1089

x = 33m

Therefore the width of the rectangle is 33m

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5(2x - 2y) - (4x + 3y)

10x - 10y - 4x - 3y

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6x - 13y

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A coffee seller makes a salary of 3,500 dollars per month plus $12 commission for every $100 of coffee he sells. a case of coffe
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Th coffee seller must have sold 130 coffee case but for him to make at least $3650, he must've sold 131 cups of coffee

Data;

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  • commission = $12
  • amount due for commission = $100
  • cost of coffee = $25
  • total amount = $3650

<h3>Word Problem</h3>

These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.

If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.

How many coffee case are inside $100

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This shows that for every 4 coffee case sold, she made ($100 + $12) as profit.

If 4 coffee = $112

how many coffee will give us $3650

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From the calculations above, he must've sold at least 131 cups of coffee to make $3650.

Learn more on word problems here;

brainly.com/question/21405634

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